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Finding the Fourth Proportional to 538,111.72, 742,599.30 and 296,395.30

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Solution

The fourth proportional to 538,111.72, 742,599.30 and 296,395.30 is: 409,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,111.72 : 742,599.30 = 296,395.30 : x
  2. Step 2: Convert to fraction form
    538,111.72/742,599.30 = 296,395.30/x
  3. Step 3: Cross multiply
    538,111.72x = 742,599.30 × 296,395.30
  4. Step 4: Simplify right side
    538,111.72x = 220,102,942,303.29
  5. Step 5: Solve for x
    x = 220,102,942,303.29/538,111.72
  6. Step 6: Final answer
    x = 409,028.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.